What two numbers multiply to 420 and add up to 109?

Here we answer the question: "What two numbers multiply to 420 and add up to 109?"

The answer to your question is:

4 and 105

Below we illustrate and prove that 4 and 105 multiply to 420 and add up to 109:

4 × 105 = 420
4 + 105 = 109

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² + 109x + 420 = 0

If so, the solution to factor the quadratic equation above is:

(x + 4 ) (x + 105)

To summarize, since 4 and 105 multiply to 420 and add up 109, you know that the following is true:

x² + 109x + 420 = (x + 4 ) (x + 105)

Multiply To One Number and Add Up To Another
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